Equivariant K-theory of smooth toric varieties
Baggio, Silvano
Tohoku Math. J. (2), Tome 59 (2007) no. 1, p. 203-231 / Harvested from Project Euclid
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We characterize the smooth toric varieties for which the Merkurjev spectral sequence, connecting equivariant and ordinary K-theory, degenerates. We find under which conditions on the support of the fan the $E^2$ terms of the spectral sequence are invariants by subdivisions of the fan. Assuming these conditions, we describe explicitly the $E^2$ terms, linking them to the reduced homology of the fan.
Publié le : 2007-05-14
Classification:  Toric varieties,  K-theory,  sheaves on fan spaces,  14M25,  19E08 
@article{1182180734,
     author = {Baggio, Silvano},
     title = {Equivariant K-theory of smooth toric varieties},
     journal = {Tohoku Math. J. (2)},
     volume = {59},
     number = {1},
     year = {2007},
     pages = { 203-231},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1182180734}
}

Baggio, Silvano. Equivariant K-theory of smooth toric varieties. Tohoku Math. J. (2), Tome 59 (2007) no. 1, pp.  203-231. http://gdmltest.u-ga.fr/item/1182180734/